Maths Challange

[Denman]

This is quite a clever one.
All you have to do is to continue this sequence:
1

11

21

1211

111221

312211

13112221

1113213211

31131211131221

13211311123113112211

[Kevin Sevcik]

argh. I've seen this before, but don't recall the answer as it's 7am. I will note that your signature is out of date however, since there's an ecuadorian team now.

[Alan Anderson]

Originally Posted by Denman

This is quite a clever one.
All you have to do is to continue this sequence:

1 = one one
11 = two ones
21 = one two, one one
1211 = one one, one two, two ones
111221 = three ones, two twos, one one
312211 = one three, one one, two twos, two ones
13112221 = one one, one three, two ones, three twos, one one
1113213211 = three ones, one three, one two, one one, one three, one two, two ones
31131211131221 = one three, two ones, one three, one one, one two, three ones, one three, one one, two twos, one one
13211311123113112211 = one one, one three, one two, two ones, one three, three ones, one two, one three, two ones, one three, two ones, two twos, two ones

So the next item in sequence is:
11131221133112132113212221

[Denman]

better now

[KenWittlief]

i dont get it, all he did was spell out the words for the numbers

whats the pattern?!

[Denman]

That is the pattern, each line describes the line above, so in the first line there is one 1 - 11 which is the second line!
--------
Each line is a description of ther line above.

1 one (0)

11 one (1)

21 two (1's)

1211 one (2) one (1)

111221 one (1) one (2) two (1's)

312211 three (1's) two (2's) one (1)

[George1902]

Ken, each term is describes in words the term before it. It's a kind of verbal Fibonacci sequence.